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Squares and Square Roots
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08/08/2021 11:38 am
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2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.
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08/08/2021 11:40 am
Let the number of rows be, x.
∴ the number of plants in each rows = x.
Total many contributed by all the students = x × x = x2
Given, x2 = Rs. 2025
x2 = 3 × 3 × 3 × 3 × 5 × 5
⇒ x2 = (3×3)×(3×3)×(5×5)
⇒ x2 = (3×3×5)×(3×3×5)
⇒ x2 = 45 × 45
⇒ x = √45×45
⇒ x = 45
∴ The number of rows = 45 and the number of plants in each rows = 45.